Article ID: CBB603861315

"El continuo" 100 años después: un nuevo análisis desde la perspectiva crítica de Hölder (2019)

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En el libro El continuo Hermann Weyl analiza la noción de continuo en matemáticas y señala que el análisis clásico cae en un círculo vicioso cuando acepta el principio del supremo en su forma conjuntista. Su posición inaugura una importante y prolífica corriente en lógica-matemática, originariamente basada en el problema de los fundamentos de las matemáticas: el predicativismo dado los números naturales. No obstante, en artículos posteriores tratará este asunto considerando otras ideas. Esto permitirá la aparición de críticas interesantes, como la de Hölder, que son asimismo analizadas aquí. Además, pretendo defender que el principio del supremo clásico se puede mantener bajo ciertas condiciones, lo que puede ser entendido como otra alternativa pseudo-constructivista distinta a la de Weyl.

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Authors & Contributors
Scholz, Erhard
Gray, Jeremy
Eckes, Christophe
Bernard, Julien
Brading, Katherine
Weyl, Hermann
Journals
Revue d'Histoire des Mathématiques
Synthese
Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics
Science in Context
Metascience: An International Review Journal for the History, Philosophy and Social Studies of Science
Mathematische Semesterberichte
Publishers
Springer International
Springer
Princeton University Press
Presses Universitaires de Nancy
Oxford University Press
Birkhäuser
Concepts
Mathematics
Philosophy of mathematics
Algebra
Physics
Philosophy
Controversies and disputes
People
Weyl, Hermann
Noether, Emmy
Hilbert, David
Poincaré, Jules Henri
Husserl, Edmund
Hölder, Ludwig Otto
Time Periods
20th century
20th century, early
19th century
Places
Madrid (Spain)
Barcelona (Spain)
Vienna (Austria)
Institutions
Vienna Circle
Universität Göttingen
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